1. In a vernier callipers, (N + 1) divisions of vernier scale coincide with N divisions of main scale. If 1 MSD represents 0.1mm, the vernier constant (in cm) is:

(1).1/10N

(2). 1/100(N + 1)

(3). 100N

(4). 10(N + 1)

2. The pitch of an error free screw gauge is 1mm and there are 100 divisions on the circular scale. While measuring the diameter of a thick wire, the pitch scale reads 1mm and 63rd division on the circular scale coincides with the reference line. The diameter of the wire is:

(1).1.63cm

(2). 0.163cm

(3). 0.163m

(4). 1.63m

3. The diameter of a spherical bob, when measured with vernier callipers yielded the following values: 3.33cm,3.32cm,3.34cm,3.33cm and 3.32cm. The mean diameter to appropriate significant figures is :

(1).3.328 cm

(2). 3.3 cm

(3). 3.33 cm

(4). 3.32 cm

4. A screw gauge gives the following readings when used to measure the diameter of a wire
Main scale reading : 0 mm
Circular scale reading : 52 divisions
Given that 1 mm on main scale corresponds to 100 divisions on the circular scale. The diameter of the wire from the above data is

(1).0.52 cm

(2). 0.026 cm

(3). 0.26 cm

(4). 0.052 cm

5. A screw gauge has least count of 0.01 mathrm mm and there are 50 divisions in its circular scale. Thepitch of the screw gauge is :

(1).0.25mm

(2). 0.5mm

(3). 1.0mm

(4). 0.01mm

6. The main scale of a vernier callipers has n divisions/cm. n divisions of the vernier scale coincide with (n-1) divisions of main scale. The least count of the vernier callipers is,

(1).1/(n + 1)(n − 1)cm

(2). 1/ncm

(3). 1/n²cm

(4). 1/n(n+1)cm

7. A student measured the diameter of a small steel ball using a screw gauge of least count 0.001 cm. The main scale reading is 5 mm and zero of circular scale division coincides with 25 divisions above the reference level. If screw gauge has a zero error of -0.004 cm, the correct diameter of the ball is

(1).0.521 cm

(2). 0.525 cm

(3). 0.053 cm

(4). 0.529 cm

8. Consider the diameter of a spherical object being measured with the help of a Vernier callipers. Suppose its 10 Vernier Scale Divisions (V S D) are equal to its 9 Main Scale Divisions (M S D). The least division in the M S is 0.1 cm and the zero of V S is at x = 0.1 cm when the jaws of Vernier callipers are closed. If the main scale reading of the diameter is M = 5 cm and the number of coinciding vernier division is 8, the measured diameter after zero error correction is

(1).5.00 cm

(2). 5.18 cm

(3). 5.08 cm

(4). 4.98 cm